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Finding the Fourth Proportional to 35,692.90, 49,257.97 and 19,777.41

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Solution

The fourth proportional to 35,692.90, 49,257.97 and 19,777.41 is: 27,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.90 : 49,257.97 = 19,777.41 : x
  2. Step 2: Convert to fraction form
    35,692.90/49,257.97 = 19,777.41/x
  3. Step 3: Cross multiply
    35,692.90x = 49,257.97 × 19,777.41
  4. Step 4: Simplify right side
    35,692.90x = 974,195,019.01
  5. Step 5: Solve for x
    x = 974,195,019.01/35,692.90
  6. Step 6: Final answer
    x = 27,293.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.